论文标题
反应扩散方程的有限维观察者的PI调节控制
Finite-dimensional observer-based PI regulation control of a reaction-diffusion equation
论文作者
论文摘要
本文通过边界控制研究了反应扩散方程的输出反馈设定点调节。被考虑的反应扩散厂可能是开环的不稳定。提出的控制策略包括有限维观察者和PI控制器的耦合,以实现对各种系统输出(例如Dirichlet和Neumann Traces)的边界设定点调节控制。在这种情况下,可以表明,有限维观察者的顺序总是可以通过明确的标准进行足够大的尺寸,以达到植物的稳定和系统输出的设定点调节。
This paper investigates the output feedback setpoint regulation control of a reaction-diffusion equation by means of boundary control. The considered reaction-diffusion plant may be open-loop unstable. The proposed control strategy consists of the coupling of a finite-dimensional observer and a PI controller in order to achieve the boundary setpoint regulation control of various system outputs such as the Dirichlet and Neumann traces. In this context, it is shown that the order of the finite-dimensional observer can always be selected large enough, with explicit criterion, to achieve both the stabilization of the plant and the setpoint regulation of the system output.